SOLUTION: candy and tim share a paper route. it takes candy 70 mins. to deliver all the papers and it takes tim 80 mins. to finish all the papers. how long does it take the two of them when

Algebra ->  Rate-of-work-word-problems -> SOLUTION: candy and tim share a paper route. it takes candy 70 mins. to deliver all the papers and it takes tim 80 mins. to finish all the papers. how long does it take the two of them when       Log On


   

Question 562302: candy and tim share a paper route. it takes candy 70 mins. to deliver all the papers and it takes tim 80 mins. to finish all the papers. how long does it take the two of them when they work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Candy's rate is ( all the papers ) / ( 70 min )
Tim's rate is ( all the papers ) / ( 80 min )
Call "all the papers" 1 job
Add their rates to get rate working together
Let +t+ = minute to do 1 job working together
+1%2F70+%2B+1%2F80+=+1%2Ft+
Multiply both sides by +560t+
+8t+%2B+7t+=+560+
+15t+=+560+
+t+=+37.333+ min
+.333%2A60+=+20+
It takes them 37 min and 20 sec working together